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Finding the Fourth Proportional to 5,759.76, 7,948.56 and 3,521.16

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Solution

The fourth proportional to 5,759.76, 7,948.56 and 3,521.16 is: 4,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.76 : 7,948.56 = 3,521.16 : x
  2. Step 2: Convert to fraction form
    5,759.76/7,948.56 = 3,521.16/x
  3. Step 3: Cross multiply
    5,759.76x = 7,948.56 × 3,521.16
  4. Step 4: Simplify right side
    5,759.76x = 27,988,151.53
  5. Step 5: Solve for x
    x = 27,988,151.53/5,759.76
  6. Step 6: Final answer
    x = 4,859.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.